The Synchrony Of Hindmarsh-Rose Neuron Networks

For twenty years, the issue of synchrony-and-controlling has been widely researched in the system of physics, chemistry and biology. The synchrony-and-controlling of neural networks has attracted much attention in particular. We expect that the synchrony-and-controlling will play an important role in the research of biology and synthetic neural networks. Scholars in communication, controlling, science of neuron and many other fields are getting interested in the research of the synchrony of the chaos system.A booming chaos could be seen in the Hindmarsh-Rose neurons. In 2004, Dhamala and other scholars published an article on the issue that phenomenon of enhancement of spike synchrony as a result of time delays in a time-delay system of two chaotic Hindmarsh-Rose neurons.Based on Dhamala's research, this article enhances the research in connection mode and the number of neurons. Hindmarsh-Rose neural network under three types of network connection conditions are respectively constructed namely all-to-all connection, star connection and neighbor connection. Taking advantage of adding time-delay coupling, this article makes detailed analysis and digital simulation of the synchrony between neurons, researching on dozens of Hindmarsh-Rose neural synchronization under the three common network connection in the mean time providing the time delay of enhancing synchrony between neurons and the scope of coupling strength. Also, under different network and numbers of neuron synchrony, time-delay and coupling strength scope is further compared and analyzed. Besides, this article is also trying to add noise item control of noise change, influence of noise on Hindmarsh-Rose neural synchrony under delay-complete connection.